1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bumek [7]
3 years ago
6

If A, B, and C are the vertices of a triangle, find AB + BC + CA.

Mathematics
1 answer:
iVinArrow [24]3 years ago
5 0

Answer:

<h2>0</h2>

Step-by-step explanation:

When drawing a triangle, note that the vectors can be drawn either in a clockwise or anticlockwise direction. For a triangle with vertices A, B and C, te vectors are AB, BC and CA

In vector notation CA = - AC (length CA is equal to AC but acting in opposite direction to AC)

and AB+BC = AC

To evaluate AB + BC + CA, we will substitute the vector expression above into the given expression and simplify as shown;

= (AB + BC) + CA

= AC + (-AC)

open the parenthesis

= AC-AC

= 0

<em>Hence the sum of the vector expression AB + BC + CA is a zero vector</em>

You might be interested in
Solve for x. x−2.7 ≥ 10.3x
Nana76 [90]
0.23893805309 \geq x
4 0
3 years ago
Which of the following statements is true?
Arada [10]

Answer:

its c i tink but im not completly sure

Step-by-step explanation:

5 0
2 years ago
Which number is an integer? 6 4.2 3/4 5 1/2
stellarik [79]

Answer:

5, 6

Step-by-step explanation :

3 0
3 years ago
Read 2 more answers
What is the unit rate of $420 for 15 tickets!
gayaneshka [121]
I could be wrong but I got 28. I devided 420 by 15
3 0
2 years ago
Read 2 more answers
A new truck sells for $29,000 and depreciates 12% each year. Find the value of the truck after 10 years.
ozzi

Answer:

according to the question value got less 12% each year

first of all the 12% of 29000$ = 29000÷100×12= 3480 $

in one year truck value deprecates 3480$

in 10 years it will 3480$×10 =34800$

now truck cost will be = 29000-34800$= -5000$

5 0
2 years ago
Other questions:
  • 10k to the third power + 8k to the second power + 10 divided by (k+1)
    15·1 answer
  • Write an equation of a line perpendicular to the line y=-5x+6
    12·1 answer
  • Explain the difference between solving 2x &lt; 7 and solving -2x &lt; 7 .
    5·2 answers
  • What is the function rule for the line?
    9·2 answers
  • Is 9749a whole number?<br>Is 9.5, a whole number?
    10·2 answers
  • A triangle has side lengths of
    13·1 answer
  • What is the area of the irregular polygon QUART?
    6·1 answer
  • Why Aren’t the expressions 5+5+5+ X plus X plus X plus X equivalent
    7·1 answer
  • Rachel hiked 2\5 of a trail. Tim hiked 7/10 of the trail.
    11·2 answers
  • Which is an equation of a line parallel to the line 2x - 4y = -16?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!